1. Solve x2 + 8x - 6 = 0 using the Quadratic Formula.
Answers
The solutions obtained by using quadratic formula are given as -4 + 2√2 and -4 - 2√2 respectively.
What is a quadratic equation?
The general form of a quadratic equation is given as ax^2 + bx + c = 0.
Here, a ≠ 0 and b and c are integers.
The degree of a quadratic equation is 2.
The given quadratic equation is x² + 8x - 6 = 0.
The quadratic formula for a quadratic equation ax² + bx + c is given as,
x = (-b ± √(b² - 4ac))/2a
Substitute the values of corresponding coefficients to get,
x = (-8 ± √(8² - 4 × 1 × -6))/2 × 1
= (-8 ± √32)/2
= -4 ± 2√2
Hence, the solution of the given quadratic equation is given as -4 + 2√2 and -4 - 2√2 respectively.
To know more about quadratic equation click on,
#SPJ2
Answer:
Two solutions were found :
x =(8-√88)/2=4-√ 22 = -0.690
x =(8+√88)/2=4+√ 22 = 8.690
Step-by-step explanation:
olving x2-8x-6 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -8
C = -6
Accordingly, B2 - 4AC =
64 - (-24) =
88
Applying the quadratic formula :
8 ± √ 88
x = —————
2
Can √ 88 be simplified ?
Yes! The prime factorization of 88 is
2•2•2•11
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 88 = √ 2•2•2•11 =
± 2 • √ 22
√ 22 , rounded to 4 decimal digits, is 4.6904
So now we are looking at:
x = ( 8 ± 2 • 4.690 ) / 2
Two real solutions:
x =(8+√88)/2=4+√ 22 = 8.690
or:
x =(8-√88)/2=4-√ 22 = -0.690
Two solutions were found :
x =(8-√88)/2=4-√ 22 = -0.690
x =(8+√88)/2=4+√ 22 = 8.690
Related Questions
An amusment park charges $35.50 for admission. On Saturday, 6,789 people visited the park. ABOUT how much money did the park earn from the admission that day? Thanks a MILLION if you help me :D!!
Adele started her homework at 9:10. she finished at 9:45. how long did she spend on her homework?
Factor:a^n + a^n+1 +a^n+2
75,000 grams= _____kilograms
Answers
area=pir^2
d=2r
d/2=r
d=12
12/2=6=r
area=pi6^2
area=36pi
divide by 6 to find sixths
36pi/6=6pi
area=6pi in^2
if aprox pi=3.14 then
area=18.84 in^2
Answers
Answers
Answers
Answer:
He will travel 520 miles in 8 hours.
Step-by-step explanation:
Given : A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible,
To find : he will travel ____ miles in 8 hours.
Solution : We have given
Distance = 260 miles.
Time = 4 hour.
In 4 hour he cover = 260 miles.
In 1 hour he cover = .
In 1 hour he cover = 65 miles .
So, In 8 hour he cover = 65 * 8 = 520 miles.
Therefore, He will travel 520 miles in 8 hours.
Answers
832/1000 = 0.832 = 0.832 * 100% = 83.2%
83.2% of the invited guests attended the wedding.